STM Journals Peer-reviewed research from Consortium e-Learning Network

Research & Reviews: Discrete Mathematical Structures

Enhancement of Strassen’s Matrix Using Scilab

  1. Saloni Jain

Abstract

The paper “Enhancement of Strassen’s Matrix Multiplication” is divided into two phases. 1st phase aims at providing ease in the calculations done in ordinary matrix multiplication and using encryption and decryption techniques which enhances security measures. This paper encourages the people to perform less complex calculations. T(n)=7T(n/2)+O(n^2), nlogba=nlog 27==n^2.81, Master’s method T(n)=O(nlog7). The number 2.81 may not seem much smaller than 3, but because the difference is in exponent, the impact on running time is significant. In fact, Strassen’s algorithm beats the ordinary algorithm on today’s machines for n>=3 and so on. 2nd phase: Using complicated algorithms though is suited for encryption to avoid insecurity of sensitive and crucial data, but at the same time it is much complex process and costly too. In today’s world, everyday thousands of people interact electronically, whether it is through emails or e-commerce, etc. over the network. Exchanging sensitive and personal data over the internet or any other network can be very risky and dangerous so we need to encrypt it and then send it over the network. Thus various efficient encryption and decryption techniques are elaborated in this paper.Cite this ArticleSaloni Jain. Enhancement of Strassen’s Matrix Using Scilab. Research & Reviews: Discrete Mathematical Structures. 2016; 3(1): 27–34p.

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